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In Chapter three, by constructing a special partitioned matrix and studying the fast triangular factorization of its inverse matrix, we respectively give fast algorithms for the minimal norm least squares solutions of linear equations which coefficient matrices are n×m Toeplitz type matrices and Vandermonde-Loewner type matrices with full column rank.

第三章通过构造特殊分块矩阵并研究其逆矩阵的快速三角分解,分别给出了求以秩为m的n×m阶Toeplitz型矩阵和Vandermonde-Loewner型矩阵为系数阵的线性方程组极小范数最小二乘解的快速算法,并通过算例将新算法与已有的法方程组的方法和正交化方法作了比较。

The difficulties and their solution in program design of C were discussed in detail in this paper, which include comparison operation, array, function and pointer etc.

详细介绍了在C语言程序设计中遇到的一些疑难问题及其解决的方法,其中涉及到比较运算,数组,函数,指针等方面的问题。

High peak period mean difference of the four experimental groups were statistically analysed by confidence limit test.

四个实验组高峰值比较应用多个样本均数差值的可信区间检验进行统计处理。

Geometric Constraint Solving with Conics;2. By comparison, we conclude that the operations on conics are more efficien than those on elliptic curves is concluded.

文中介绍了有限域上的圆锥曲线的点群结构及加法运算,给出了三种不同的方法计算加法,并进一步比较了他们在数乘运算中的效率。

Through a test, questionnaire survey and interviews, this paper intends to investigate the images of the freshmen with different specialities about the concepts of limit, continuity andderivative of a function at a point x_0 and the relationship among them.

函数在点x_0处的极限、连续和导数三者概念,本文通过问卷调查和访谈,对不同专业的大学一年级本科生的概念表象和三者关系的理解水平进行了研究,而且对三个专业进行显著性差异比较。

The controller makes the closed-loop systems internally stable and minimizes the H2 norm of the transfer matrix Tzw from w to z. Two Riccati formulae based on 8 operator is deduced. The H2 problems for continuous time systems, Z operator models and 8 operator models are investigated respectively.The guaranteed cost control problem of robust stabilization and robust performance for uncertain systems which is described by 8 operator is discussed in this paper.

采用Riccati方程处理方法讨论了基于Delta算子描述下的离散系统存在输出反馈控制器的问题,得到了两个基于Delta算子的Riccati方程,设计了Delta域的输出反馈控制器,使得闭环系统内稳定,且满足从w到z的传递矩阵T_的H_2范数最小,设计了基于Delta算子描述下的离散系统的最优控制器,并与S域和Z域的H_2控制器进行了比较。

But it is a hard task to solve this equation, one reason is that the TV-norm is nondifferentiable when |▽_u|= 0, so we cant apply a linearizationtechnique such as the Newton method. The other reason is that the Euler-Lagrange equation has a highly nonlinear term. The Newton method for such equation is known to have a very small domain of convergence, and it is very difficult to make sure that the initial value such as the observed image belongs to this domain. So the Newton method is not an ideal method for solving this equation.

但是求解它比较困难,主要是因为TV-范数在|▽u|=0处不可微,不能用诸如牛顿法之类的方法将其线性化;且Euler-Lagrange方程含有一个高度非线性的项,牛顿法只有局部收敛性,对于高度非线性问题它的收敛域很小,因此难以保证所取的初始点在它的收敛域内,故一般不用牛顿法直接求解。

Immunohistochemistry and imaging analysis were used for detecting the intensity of expression of u-PA and PAI-1 in renal biopsied tissue of 50 cases with various types of LN and 10 cases with minor glomerular lesions, the results were analyzed correlatively with PCNA cells and type IV collagen.

方法对50例不同类型的LN和10例原发性肾小球轻微病变的肾活检组织,采用免疫组化及图象分析法比较观察了u-PA和PAI-1在肾小球的表达强度,并与肾小球增殖细胞核抗原阳性细胞数和Ⅳ型胶原染色强度作相关分析。

Third part is about thecontrastive study of Su-Mu and corvee of Su-Mu written by these archives.

第三部分主要对蒙文档案所反映的清乾隆时期喀喇沁右旗苏木数及苏木徭役进行了比较研究。

He could be on the verge of another strong showing in this year's Cy Young vote.

看起来比较不糟糕的是他那持续累积的滚地球出局数。

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